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Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors

Xiao-Liang Qi·Yong-Shi Wu·Shou-Cheng Zhang
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Abstract

We propose models of two dimensional paramagnetic semiconductors where the intrinsic spin Hall effect is exactly quantized in integer units of a topological charge. The model describes a topological insulator in the bulk, and a "holographic metal" at the edge, where the number of extended edge states crossing the Fermi level is dictated by (exactly equal to) the bulk topological charge. We also demonstrate the spin Hall effect explicitly in terms of the spin accumulation caused by the adiabatic flux insertion.

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Xiao-Liang Qi, Yong-Shi Wu, Shou-Cheng Zhang. 2006-08-31. Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors. https://doi.org/10.1103/physrevb.74.085308

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